A man holds an umbrella at 30° with the vertical to keep himself dry. He, then, runs at a speed of 10 ms-1, and find the rain drops to be hitting vertically. Study the following statements and find the correct options.i. Velocity of rain w.r.t. Earth is 20 m s-1ii. Velocity of rain w.r.t. man is103ms−1iii. Velocity of rain w.r.t. Earth is 30ms−1iv. Velocity of rain w.r.t. man is 102ms−1

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Statements (i) and (ii) are correct.

Statements (i) and (iii) are correct.

Statements (iii) and (iv) are correct.

Statements (ii) and (iv) are correct.

answer is A.

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Detailed Solution

v→m= Velocity of man v→re= Velocity of rain w.r.t. earth v→rm= Velocity of rain w.r.t. man man⁡v→m=10ms−1using sin⁡30∘=vmvrevre=vmsin⁡30∘=101/2=20ms−1cos⁡30∘=vrmvrevrm=vrecos⁡30=20×32=103ms−1

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